Question
What does it mean for a set to be "closed"? (1 point)
• Members of a closed set cannot be added, subtracted, multiplied, or divided.
• The set has a finite number of members, as opposed to being infinitely large.
An operation performed on members of that set will result in a member of the same set.
An expression belonging to a closed set cannot be used to create an expression that is not of that set.
• Members of a closed set cannot be added, subtracted, multiplied, or divided.
• The set has a finite number of members, as opposed to being infinitely large.
An operation performed on members of that set will result in a member of the same set.
An expression belonging to a closed set cannot be used to create an expression that is not of that set.
Answers
GPT-4o mini
The correct interpretation of a "closed set" in mathematical terms is:
**An operation performed on members of that set will result in a member of the same set.**
This means that if you take any two elements from the set and perform the specified operation (such as addition, multiplication, etc.), the result will also be an element of the same set. For example, the set of integers is closed under addition because the sum of any two integers is also an integer.
**An operation performed on members of that set will result in a member of the same set.**
This means that if you take any two elements from the set and perform the specified operation (such as addition, multiplication, etc.), the result will also be an element of the same set. For example, the set of integers is closed under addition because the sum of any two integers is also an integer.